Transcript of Objective Video Example by Mrs. G Give It a Try Lesson 6.1 Identify when a function is a polynomial...
- Slide 1
- Slide 2
- Objective Video Example by Mrs. G Give It a Try Lesson 6.1
Identify when a function is a polynomial function. Evaluate
polynomial functions for given values using direct substitution and
synthetic substitution.
- Slide 3
- Video Objective Video Example by Mrs. G Give It a Try YouTube
Mathispower4you
- Slide 4
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue.
- Slide 5
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. This is a polynomial in standard form:
- Slide 6
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. This is a polynomial in standard form:
Degrees on terms are in descending order. A constant term is just
like having x 0 An x term is really x 1
- Slide 7
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. This is a polynomial in standard form:
Highest degree become degree of entire polynomial. Coefficient of
first term in standard form becomes leading coefficient
- Slide 8
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. There are two ways to classify a polynomial:
by degree and by number of terms PolynomialDegreeClassified by
Degree Classified by Number of Terms 6 -2x 3x + 1 -x 2 + 2x 5 4x 3
8x 2x 4 7x 3 5x + 1
- Slide 9
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. There are two ways to classify a polynomial:
by degree and by number of terms PolynomialDegreeClassified by
Degree Classified by Number of Terms 60 -2x1 3x + 11 -x 2 + 2x 52
4x 3 8x3 2x 4 7x 3 5x + 14
- Slide 10
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. There are two ways to classify a polynomial:
by degree and by number of terms PolynomialDegreeClassified by
Degree Classified by Number of Terms 60constant -2x1linear 3x +
11linear -x 2 + 2x 52quadratic 4x 3 8x3cubic 2x 4 7x 3 5x +
14quartic
- Slide 11
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. There are two ways to classify a polynomial:
by degree and by number of terms PolynomialDegreeClassified by
Degree Classified by Number of Terms 60constantmonomial
-2x1linearmonomial 3x + 11linearbinomial -x 2 + 2x
52quadratictrinomial 4x 3 8x3cubicbinomial 2x 4 7x 3 5x +
14quarticpolynomial
- Slide 12
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. Decide whether the function is a polynomial
function. If it is, write the function in standard form and state
its degree, leading coefficient, and type (using both names). NOT a
polynomial because polynomials cannot have fractions for
exponents.
- Slide 13
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. Decide whether the function is a polynomial
function. If it is, write the function in standard form and state
its degree, leading coefficient, and type (using both names). IS a
polynomial Already in standard form Degree is 0 LC is 3 It is a
constant monomial
- Slide 14
- Example by Mrs. G Objective Video Example by Mrs. G Give It a
Try Click to continue. Decide whether the function is a polynomial
function. If it is, write the function in standard form and state
its degree, leading coefficient, and type (using both names). IS a
polynomial Standard form: Degree is 1 LC is -1 It is a linear
binomial
- Slide 15
- Give It a Try Objective Video Example by Mrs. G Give It a Try
Decide whether the function is a polynomial function. If it is,
write the function in standard form and state its degree, leading
coefficient, and type (using both names). Bring your work and
answer to our next class! a. b. c.